Search a number
-
+
148456 = 23711241
BaseRepresentation
bin100100001111101000
321112122101
4210033220
514222311
63103144
71155550
oct441750
9245571
10148456
11a15a0
1271ab4
1352759
143c160
152dec1
hex243e8

148456 has 32 divisors (see below), whose sum is σ = 348480. Its totient is φ = 57600.

The previous prime is 148439. The next prime is 148457. The reversal of 148456 is 654841.

148456 = T43 + T44 + ... + T98.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (148457) by changing a digit.

148456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2148456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240).

148456 is an abundant number, since it is smaller than the sum of its proper divisors (200024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148456 is a wasteful number, since it uses less digits than its factorization.

148456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 148456 is about 385.2998832079. The cubic root of 148456 is about 52.9499943676.

It can be divided in two parts, 1484 and 56, that added together give a triangular number (1540 = T55).

The spelling of 148456 in words is "one hundred forty-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 241 308 482 616 964 1687 1928 2651 3374 5302 6748 10604 13496 18557 21208 37114 74228 148456